{"title":"Lower-Dimensional Regge-Teitelboim Gravity","authors":"Anton Sheykin, Agata Grechko","doi":"10.1134/S0202289323010097","DOIUrl":null,"url":null,"abstract":"<p>We study modified gravity theory known as the Regge-Teitelboim approach, in which gravity is represented by the dynamics of a surface isometrically embedded in a flat bulk. We obtain some particular solutions of Regge-Teitelboim equations corresponding to a circularly symmetric vacuum 2+1-dimensional space-time. In contrast to GR, this vacuum space-time is not flat, so it is possible for the gravitational field to exist even without matter or a cosmological constant.</p>","PeriodicalId":583,"journal":{"name":"Gravitation and Cosmology","volume":"29 1","pages":"39 - 42"},"PeriodicalIF":1.2000,"publicationDate":"2023-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Gravitation and Cosmology","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1134/S0202289323010097","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
引用次数: 1
Abstract
We study modified gravity theory known as the Regge-Teitelboim approach, in which gravity is represented by the dynamics of a surface isometrically embedded in a flat bulk. We obtain some particular solutions of Regge-Teitelboim equations corresponding to a circularly symmetric vacuum 2+1-dimensional space-time. In contrast to GR, this vacuum space-time is not flat, so it is possible for the gravitational field to exist even without matter or a cosmological constant.
期刊介绍:
Gravitation and Cosmology is a peer-reviewed periodical, dealing with the full range of topics of gravitational physics and relativistic cosmology and published under the auspices of the Russian Gravitation Society and Peoples’ Friendship University of Russia. The journal publishes research papers, review articles and brief communications on the following fields: theoretical (classical and quantum) gravitation; relativistic astrophysics and cosmology, exact solutions and modern mathematical methods in gravitation and cosmology, including Lie groups, geometry and topology; unification theories including gravitation; fundamental physical constants and their possible variations; fundamental gravity experiments on Earth and in space; related topics. It also publishes selected old papers which have not lost their topicality but were previously published only in Russian and were not available to the worldwide research community